A ball of mass 250 g, having initial speed v, moves along a straight path under the action of a constant net force of 8 N. If the ball has speed v after 2.5 s of its journey, then the value of v is?
I do not know .
can you tell me
To find the value of v, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
The equation can be written as:
F = m * a
In this case, the net force acting on the ball is 8 N, and the ball's mass is 250 g. First, we need to convert the mass from grams to kilograms by dividing it by 1000. Therefore, the mass of the ball is:
m = 250 g / 1000 = 0.25 kg
Now, we can rearrange the equation to solve for acceleration:
a = F / m
a = 8 N / 0.25 kg
a = 32 m/s²
Next, we can use the equation of motion to find the final velocity of the ball. The equation of motion, relating initial velocity (u), final velocity (v), acceleration (a), and time (t) is:
v = u + at
We know the time is 2.5 s, and we want to find the final velocity (v). Since the ball starts from rest, the initial velocity (u) is 0. Plugging in the values, we have:
v = 0 + (32 m/s²) * (2.5 s)
v = 0 + 80 m/s
v = 80 m/s
Therefore, the value of v is 80 m/s.